Factor the expression using the GFC 44-11

Answer:

[tex]7 < k < 13[/tex]

[tex]-6>y>-12[/tex]

[tex]m > 5[/tex]

[tex]3 < p < \frac{15}{2}[/tex]

Step-by-step explanation:

Given

[tex]5 < k -2 < 11[/tex]

[tex]-4 > y + 2 > -10[/tex]

[tex]5 -m < 4\ or\ 7m > 35[/tex]

[tex]3 < 2p -3 < 12[/tex]

Required

Solve

Solving (1):

[tex]5 < k -2 < 11[/tex]

The above can be represented as:

[tex]5<k -2[/tex] and [tex]k -2<11[/tex]

Solving [tex]5<k -2[/tex]

[tex]5 + 2 <k[/tex]

[tex]7<k[/tex]

Solving [tex]k -2<11[/tex]

[tex]k < 2 + 11[/tex]

[tex]k < 13[/tex]

So, we have:

[tex]7<k[/tex] and [tex]k < 13[/tex]

This can be combined as:

[tex]7 < k < 13[/tex]

Solving (2):

[tex]-4 > y + 2 > -10[/tex]

Split as:

[tex]-4 > y + 2[/tex] and [tex]y + 2 > -10[/tex]

Solving [tex]-4 > y + 2[/tex]

[tex]-4 - 2 > y[/tex]

[tex]-6 > y[/tex]

Solving [tex]y + 2 > -10[/tex]

[tex]y > -10 - 2[/tex]

[tex]y > -12[/tex]

So, we have:

[tex]-6 > y[/tex] and [tex]y > -12[/tex]

This gives

[tex]-6>y>-12[/tex]

Solving (3):

[tex]5 -m < 4\ or\ 7m > 35[/tex]

Solve for m in both cases:

[tex]5 - m < 4[/tex]

[tex]-m<4 - 5[/tex]

[tex]-m<- 1[/tex]

[tex]m > 1[/tex]

[tex]7m > 35[/tex]

Divide both sides by 5

[tex]m > 5[/tex]

So, we have:

[tex]m > 1[/tex] or [tex]m > 5[/tex]

The solution is [tex]m > 5[/tex] because [tex]5> 1[/tex]

Solving (4):

[tex]3 < 2p -3 < 12[/tex]

The above can be represented as:

[tex]3 < 2p - 3[/tex] and [tex]2p - 3<12[/tex]

Solving [tex]3 < 2p - 3[/tex]

Add 3 to both sides

[tex]3 + 3 < 2p - 3 + 3[/tex]

[tex]6 < 2p[/tex]

Divide both sids by 2

[tex]3 < p[/tex]

[tex]2p - 3<12[/tex]

Add 3 to both sides

[tex]2p - 3 + 3 < 12 + 3[/tex]

[tex]2p < 12 + 3[/tex]

[tex]2p < 15[/tex]

Solve for p

[tex]p < \frac{15}{2}[/tex]

So, we have:

[tex]3 < p[/tex] and [tex]p < \frac{15}{2}[/tex]

Combined as:

[tex]3 < p < \frac{15}{2}[/tex]

Answer:

7. Slope = -7/4

8. Slope = 2

9. Second Point = (0, 0)

10. Second Point = (0 ,-5)

Step-by-step explanation:

Find the slope: Slope Formula = y2-y1/x2-x1

7. (2, 4) and (6, -3)

x1,x2 = (2, 4) y1,y2 = (6, -3)

(-3 - 4)/(6 - 2)

-7/4

8. (-5, 1) and (-1, 9)

x1,x2 (-5, 1) y1,y2 (-1, 9)

(9 - 1)/(-1 - (-5))

8/4

2

Second Point on Line:

9. We know: slope = 1/2, and (2, 1) is on the line; So:

y = 1/2x + b where we have to still find b

so b = y1 - m * x1

b = 1 - 1/2 * 2

b = 1 - 1

b = (0,0)

If you plug this in to the slope formula, it comes out to 1/2

10. We know: slope = -4, and (-3, 7) is on the line; So

y = -4x + b where we have to still find b

so b = y1 - m * x1

b = 7 - (-4) * -3

b = 7 - 12

b = (0,-5)

If you plug this in to the slope formula, it comes out to -4

Answer:In a question like this, you are trying to find the Highest Common Denominator, or HCF. This can be done manually, by finding all the factors of 42

(

1

,

2

,

3

,

6

,

7

,

14

,

21

,

42

)

, all the factors of 72

(

1

,

2

,

3

,

4

,

6

,

8

,

9

,

12

,

18

,

24

,

36

,

72

)

, and comparing them to see that their HCF is

6

. Or, it can be done by dividing both numbers,

=

72

42

, simplifying the fraction

=

12

7

, then dividing the starting number with the new simplifiied number, remembering always to divide numerator with numerator and denominator with denominator.

72

12

=

6

or

42

7

=

6

This process works with any two numbers which you want to find the HCF of, and can be simplified into this rule:

If

a

=

any number,

b

=

any number and

c

d

is the simplified fraction of

a

b

,

The HCF

=

a

c

or

=

b

d

I hope that helped!

Step-by-step explanation:

Answer:

(x + 8) × 4 = 21 × 4

Explanation:

x + 8 = 21

21 - 8 = 13

(13 + 8) × 4 = 21 × 4

21 × 4 = 21 × 4

84 = 21 × 4

84 = 84

Answer:

360000

Step-by-step explanation

Step-by-step explanation:

36000

move the decimal to right 4 time then fill the blank with 0

example: 3.6×10⁴ = 36000

note: if the power is positive mo right, if negativw movw the decimal point to left

Answer:

x=9 which makes angle q 28 degrees

Step-by-step explanation:

please mark me as the brainliest

Answer:

f(-4) = 33

f(7) = -154

Step-by-step explanation:

In this question, you will solve the function by plugging in the given value.

Solve:

f(-4) = 7 - 2(-4) -3(-4)²​

= 7 - 2(-4) - 48

= 7 + 8 - 48

= 7 - 40

f(-4) = 33

----------------------------------

f(7) = 7 - 2(7) -3(7)²​

= 7 - 2(7) - 147

= 7 - 14 - 147

= 7 - 161

f(7) = -154

Answer:

how much you have ( tommy plucked 6 apples from a tree)

have nothing  (tommy gave away 6 apples)

have less than 0  ( tommy gave away 6 apples)

6-6=0

Step-by-step explanation:

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

Answer:

Step-by-step explanation:

2x - 5 = 15

Bringing like terms on one side

2x = 15 + 5

2x = 20

Option B is the correct answer

Answer:

b) 2x = 20

c) 2(x - 5) = 15

D) 2x - 20 = 0

Explanation

2x - 5 = 15

2x = 15 + 5

2x = 20

x= 20/2

x= 10

a) 2x = 10

x= 10/2

x= 5 (which is not correct)

b) 2x = 20

x= 20/2

x = 10 (which is correct )

c) 2(x- 5) = 15

2x - 10 = 15.

2x = 15 +10

2x = 20

x = 20/2

x= 10 ( which is correct)

d) 2x - 20 = 0

2x = 20

x= 20/2

x= 10 ( which is correct)

Answer:

7 inches

Step-by-step explanation:

Answer:

Ello

Step-by-step explanation:

........................

Answer:

-30

Step-by-step explanation:

Answer:

its actually -100 in khan academy

Step-by-step explanation:

Answer:

its A 23

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

Answer:

-3 2/4 is greater that -3.7

Step-by-step explanation:

2/4 is 0.4 and when dealing with negatives so the lower negative is the closest to 0 so the smaller negative is the greatest.

Answer:

Wait u don’t understand what is there supposed to be a pick or something?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

we take 18.90 and subtract 2.95.

now we have 15.95

then divide 15.95 by 5

and now we have 3.19

Answer I think it’s b

Answer:

1: 4/16 or simplified to 1/4

2: 12/16 or simplified to 3/4

Step-by-step explanation:

Hope this helps

Answer:

Exponents: 1

Constants: -5, 2

Step-by-step explanation:

7y + x - 5 + 2

Exponents: 1

Constants: -5, 2

Answer:

$3,998 would be the semi monthly pay.

Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

Answer:

Number of tickets sold: 372

Number of people each night: 124

Answer:

Number of tickets sold:

372

Number of people in the audience each night:

Roughly 124 per night

Answer:

75%

Step-by-step explanation:

63/84 = .75

.75= 75%

I need points lol ,, i hope you find your answer i guess .

Answer:

Step-by-step explanation:

Since he is his own boss, he is basically a self employed taxpayer and should be to deduct the employer portion of self employment taxes that he/she pays during the year.

In a case like this, the total self employment taxes are $7,771 x 50% = $7,771 * 0.5 = $3,885.50. This money also now, is corresponding to employer taxes (the other 50% are not deductible since they correspond to employee taxes).

Self employment taxes composes but not limited to Medicare and Social Security taxes (FICA taxes basically).

Answer:

D none of the above becuz x=4

Answer:

D

Step-by-step explanation:

Answer:

15X - 11 = <LMN

Step-by-step explanation:

add the two expressions together